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Answer:

Two polygons are similar with factor k.

=> The ratio between the area of two polygons: r = k^2

=> Here, the area of polygon B is larger than polygon A: 5^2 = 25 times

Hope this helps!

:)

Answer:

Area of polygon B is larger than the area of Polygon A by 25 times.

Step-by-step explanation:

The simplest way of finding this would be to draw a rough image of polygon A and B.

Let's say you drew Polygon A and B as rectangles. Since the scale factor is 5, the dimensions of the sides of polygon B would be 5 times as that of the dimensions of polygon A.

if you label the dimensions of Polygon A as length 2cm and width as 1cm, its area would be 2 square centimetres.

now keeping the scale factor of 5 in mind, multiply the length and the width by 5. you will get the length of polygon B as 10cm and width as 5cm. the area of polygon B becomes 50 square centimetres.

once you have done this, you will realise that the area of polygon B is 25 times the area of polygon A.

Hope this helped:)

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